Application of global optimization to implicit solution of partial differential equations

DOI10.1016/0898-1221(93)90287-6zbMath0797.35010OpenAlexW2062464122MaRDI QIDQ1802503

Zhongxiong Pan, Efim A. Galperin, Quan Zheng

Publication date: 18 October 1994

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0898-1221(93)90287-6

zbMATH Keywords

global optimizationimplicit \(\eta\)-solutions

Mathematics Subject Classification ID

Applications of mathematical programming (90C90) Nonlinear programming (90C30) Shocks and singularities for hyperbolic equations (35L67) Theoretical approximation in context of PDEs (35A35) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65M99) Numerical methods for partial differential equations, boundary value problems (65N99)

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Cites Work

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• Theory and applications of the multiquadric-biharmonic method. 20 years of discovery 1968-1988
• Multiquadrics - a scattered data approximation scheme with applications to computational fluid-dynamics. I: Surface approximations and partial derivative estimates
• Large Time Step Shock-Capturing Techniques for Scalar Conservation Laws

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